can someone correct this for me.

7(x –3) > 5x - 14
7x –21 > 5x –14
-5x -5x
1x –21 > -14
+21 +21
1x > 7
1x / 1 > 7 / 1
x > 7
the line has an open circle right on number 7 with an arrow going to the positive side.

No. WHen you subtraced 5x from 7x, you should get 2x.

2x-21>-14
2x>7
x>3.5

sorry that was a typo